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The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations
Authors:Chuan-zhi Bai   Jin-xuan Fang
Affiliation:

a Department of Mathematics, Huaiyin Normal College, Huaian, Jiangsu 223001, China

b Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, China

Abstract:In this paper we establish the existence of a positive solution to a singular coupled system of nonlinear fractional differential equations. Our analysis rely on a nonlinear alternative of Leray–Schauder type and Krasnoselskii’s fixed point theorem in a cone.
Keywords:Author Keywords: Singular nonlinear fractional differential equation   Positive solution   Fixed point theorem in cones
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